13-(7x-9)+(23x-11)-(18x-19)=3x-(2x+13)

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Solution for 13-(7x-9)+(23x-11)-(18x-19)=3x-(2x+13) equation:


Simplifying
13 + -1(7x + -9) + (23x + -11) + -1(18x + -19) = 3x + -1(2x + 13)

Reorder the terms:
13 + -1(-9 + 7x) + (23x + -11) + -1(18x + -19) = 3x + -1(2x + 13)
13 + (-9 * -1 + 7x * -1) + (23x + -11) + -1(18x + -19) = 3x + -1(2x + 13)
13 + (9 + -7x) + (23x + -11) + -1(18x + -19) = 3x + -1(2x + 13)

Reorder the terms:
13 + 9 + -7x + (-11 + 23x) + -1(18x + -19) = 3x + -1(2x + 13)

Remove parenthesis around (-11 + 23x)
13 + 9 + -7x + -11 + 23x + -1(18x + -19) = 3x + -1(2x + 13)

Reorder the terms:
13 + 9 + -7x + -11 + 23x + -1(-19 + 18x) = 3x + -1(2x + 13)
13 + 9 + -7x + -11 + 23x + (-19 * -1 + 18x * -1) = 3x + -1(2x + 13)
13 + 9 + -7x + -11 + 23x + (19 + -18x) = 3x + -1(2x + 13)

Reorder the terms:
13 + 9 + -11 + 19 + -7x + 23x + -18x = 3x + -1(2x + 13)

Combine like terms: 13 + 9 = 22
22 + -11 + 19 + -7x + 23x + -18x = 3x + -1(2x + 13)

Combine like terms: 22 + -11 = 11
11 + 19 + -7x + 23x + -18x = 3x + -1(2x + 13)

Combine like terms: 11 + 19 = 30
30 + -7x + 23x + -18x = 3x + -1(2x + 13)

Combine like terms: -7x + 23x = 16x
30 + 16x + -18x = 3x + -1(2x + 13)

Combine like terms: 16x + -18x = -2x
30 + -2x = 3x + -1(2x + 13)

Reorder the terms:
30 + -2x = 3x + -1(13 + 2x)
30 + -2x = 3x + (13 * -1 + 2x * -1)
30 + -2x = 3x + (-13 + -2x)

Reorder the terms:
30 + -2x = -13 + 3x + -2x

Combine like terms: 3x + -2x = 1x
30 + -2x = -13 + 1x

Solving
30 + -2x = -13 + 1x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-1x' to each side of the equation.
30 + -2x + -1x = -13 + 1x + -1x

Combine like terms: -2x + -1x = -3x
30 + -3x = -13 + 1x + -1x

Combine like terms: 1x + -1x = 0
30 + -3x = -13 + 0
30 + -3x = -13

Add '-30' to each side of the equation.
30 + -30 + -3x = -13 + -30

Combine like terms: 30 + -30 = 0
0 + -3x = -13 + -30
-3x = -13 + -30

Combine like terms: -13 + -30 = -43
-3x = -43

Divide each side by '-3'.
x = 14.33333333

Simplifying
x = 14.33333333

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